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Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.2 - Problem 3e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 5.2 - Problem 3e

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# Let P(n) be the statement that a postage of ncentscanbe

ISBN: 9780073383095 37

## Solution for problem 3E Chapter 5.2

Discrete Mathematics and Its Applications | 7th Edition

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Problem 3E

Problem 3E

Let P(n) be the statement that a postage of ncentscanbe formed using just 3-cent stamps and 5-cent stamps The parts of this exercise outline a strong induction proof that P(n) is true for n ≥ 8.

a) Show that the statements P(8), P(9), and P(10) are true, completing the basis step of the proof.

b) What is the inductive hypothesis of the proof?

c) What do you need to prove in the inductive step?

d) Complete the inductive step for k ≥ 10.

e) Explain why these steps show that this statement is true whenever n ≥ 8.

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Discrete Mathematics CS225 Terms and concepts: Week 2 Reading 145-159, 165-167. 183-184. 201-203 and Lectures and Supplemental Info List of Types of Numbers: • Natural numbers ( ℕ ): Counting numbers. {0, 1, 2, 3…} • Integers ( ℤ ): Positive and negative counting numbers. {…-2, -1, 0, 1, 2, …} • Rational numbers ( ℚ ): Numbers that can be expressed as a ratio of an integer to a non-zero integer. ◦ Quotients of integers. ◦ All integers are rational, but not all rational numbers are integers. • Real numbers ( ℝ ) : Numbers that have decimal representations. ◦ Can be positive, negative, or zero. ◦ All rational numbers are real, not all real numbers are rational. • Irrational numbers (I): Real numbers that are not rationa

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##### ISBN: 9780073383095

The answer to “Let P(n) be the statement that a postage of ncentscanbe formed using just 3-cent stamps and 5-cent stamps The parts of this exercise outline a strong induction proof that P(n) is true for n ? 8.a) Show that the statements P(8), P(9), and P(10) are true, completing the basis step of the proof.________________b) What is the inductive hypothesis of the proof?________________c) What do you need to prove in the inductive step?________________d) Complete the inductive step for k ? 10.________________e) Explain why these steps show that this statement is true whenever n ? 8.” is broken down into a number of easy to follow steps, and 93 words. The full step-by-step solution to problem: 3E from chapter: 5.2 was answered by , our top Math solution expert on 06/21/17, 07:45AM. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: inductive, true, proof, stamps, show. This expansive textbook survival guide covers 101 chapters, and 4221 solutions. Since the solution to 3E from 5.2 chapter was answered, more than 363 students have viewed the full step-by-step answer.

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